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Finding the Fourth Proportional to 7,006.44, 9,658.83 and 5,511.77

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Solution

The fourth proportional to 7,006.44, 9,658.83 and 5,511.77 is: 7,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.44 : 9,658.83 = 5,511.77 : x
  2. Step 2: Convert to fraction form
    7,006.44/9,658.83 = 5,511.77/x
  3. Step 3: Cross multiply
    7,006.44x = 9,658.83 × 5,511.77
  4. Step 4: Simplify right side
    7,006.44x = 53,237,201.13
  5. Step 5: Solve for x
    x = 53,237,201.13/7,006.44
  6. Step 6: Final answer
    x = 7,598.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.